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Details

formulae for geometry
common formulae needed for GRE math
19
Mathematics
Graduate
07/03/2009

Additional Mathematics Flashcards

 


 

Cards

Term
Formula to find the area of a triangle
Definition

1/2 base x height

or 1/2bh

Term
Formula to find the perimeter of a triangle
Definition

The sum of the lengths of the sides

P=3+4+5

Term

Use Pythagorean theorum to find the sides of any

right triangle

Definition
a2+b2=c2
Term
Formula to find the area of a square
Definition

A=S2

or

A=bh

Term

Formula to find the area of a

rhombus

Definition

A=1/2d1x d2

(1/2 diagonal 1 x diagonal 2)

Term

Formula to find the area of a

rectangle

Definition

A=lw

(the same as bh)

Term

Formula to find the area of a

parallelogram

Definition
A=bh
Term

Formula to find the area of a

trapezoid

Definition
A=1/2 (b1+b2) x h
Term

Formula for finding the total interior angle measure of polygons

 

Definition

(n - 2) 180°, where n stands for the number of sides

Examples:

Triangle: (3 - 2) x 180 = 1 x 180 =180°

Quadrilateral: (4 - 2) x 180 = 2 x 180 = 360°

Pentagon: (5 - 2) x 180 = 3 x 180 = 540°

Hexagon: (6 - 2) x 180 = 4 x 180 = 720°

Heptagon: (7 - 2) x 180 = 5 x 180 = 900°

Octagon: (8 - 2) x 180 = 6 x 180 = 1,080°

Nonagon: (9 - 2) x 180 = 7 x 180 = 1,260°

Decagon: (10 - 2) x 180 = 8 x 180 = 1,440°

 

Term
The exterior angle measure of any polygon is always
Definition
360°
Term
Formula to find one interior angle of a polygon
Definition

(n -2) 180°

n

where n stands for the number of sides (which is the same as the number of angles)

Pentagon:

(5 - 2) 180 = (3 x 180) = 540 = 108°

                      5                5             5

Term
Formula to find the volume of a cube
Definition

V = e3

all dimensions are equal in a cube.

l = w =h

these dimensions are called edges in a cube.

Term

Formula for finding the

Volume of a rectangular solid

Definition
V = l x w x h
Term

Formula for finding the Volume of a

cylinder

Definition
V = (πr2)h
Term

Formula to find the Total Surface Area (TSA) of a

cube

Definition

TSA of a cube = 6e2

or

TSA of a cube = 6 x edge2

Term

Formula for finding the TSA of a

rectangular solid

Definition
TSA of a rectangular solid = 2 (lw) + 2 (hw) + 2 (lh)
Term
Formula for finding the TSA of a cylinder
Definition
TSA of a cylinder = (circumference x height) + 2 (πr2)
Term

Formula for finding the area of a

circle

Definition
πr2
Term

Formula for finding the circumference of a

circle

Definition

2πr

or

πd

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